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Lecture Notes On Local Rings

Jezik EngleskiEngleski
Knjiga Tvrdi uvez
Knjiga Lecture Notes On Local Rings Holger Andreas Nielsen
Libristo kod: 06788099
Nakladnici World Scientific Publishing Co Pte Ltd, kolovoz 2014
The content in Chapter 13 is a fairly standard onesemester course on local rings with the goal to re... Cijeli opis
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The content in Chapter 13 is a fairly standard onesemester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by CohenMacaulay rings and depth. In Chapters 46 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 79 are not so standard and introduce the reader to the generalizations of modules to complexes of modules. Some of Professor Iversens results are given in Chapter 9. Chapter 10 is about Serres intersection conjecture. The graded case is fully exposed. The last chapter introduces the reader to Fitting ideals and McRae invariants.* deceasedContents:Dimension of a Local RingModules over a Local RingDivisor TheoryCompletionInjective ModulesLocal CohomologyDualizing ComplexesLocal DualityAmplitude and DimensionIntersection MultiplicitiesComplexes of Free ModulesReadership: Graduate students and academic researchers with an interest in algebra, commutative algebra, algebra geometry, homological algebra and algebraic number theory.

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Informacije o knjizi

Puni naziv Lecture Notes On Local Rings
Autor Holger Andreas Nielsen
Jezik Engleski
Uvez Knjiga - Tvrdi uvez
Datum izdanja 2014
Broj stranica 224
EAN 9789814603652
ISBN 9789814603652
Libristo kod 06788099
Nakladnici World Scientific Publishing Co Pte Ltd
Težina 536
Dimenzije 164 x 241 x 21

Kategorija

Mathematics & Science > Mathematics > Geometry > Algebraic geometry
Mathematics & Science > Mathematics > Algebra
Mathematics & Science > Mathematics > Number theory
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